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Volumn 44, Issue 1, 2005, Pages 25-45

Singular limit laminations, Morse index, and positive scalar curvature

Author keywords

Laminations; Minimal surfaces; Morse index; Positive scalar curvature

Indexed keywords


EID: 5744252574     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.top.2004.01.007     Document Type: Article
Times cited : (18)

References (14)
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  • 2
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    • Choi H.I. Schoen R. The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature Invent. Math. 81 1985 387-394
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    • Choi, H.I.1    Schoen, R.2
  • 3
    • 0141680496 scopus 로고    scopus 로고
    • Metrics without Morse index bounds
    • Colding T.H. Hingston N. Metrics without Morse index bounds Duke Math. J. 119 2003 345-365
    • (2003) Duke Math. J. , vol.119 , pp. 345-365
    • Colding, T.H.1    Hingston, N.2
  • 4
    • 5744236722 scopus 로고    scopus 로고
    • Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics
    • preprint
    • T.H. Colding N. Hingston Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics, preprint, 2002
    • (2002)
    • Colding, T.H.1    Hingston, N.2
  • 5
    • 5744246161 scopus 로고    scopus 로고
    • Morse index bounds for simple geodesics on surfaces
    • in preparation
    • T.H. Colding N. Hingston, Morse index bounds for simple geodesics on surfaces, in preparation
    • Colding, T.H.1    Hingston, N.2
  • 6
    • 0141764270 scopus 로고    scopus 로고
    • Embedded minimal surfaces without area bounds in 3-manifolds
    • Proceedings of Conference on Geometry and Topology, Aarhus, 1998
    • Colding T.H. Minicozzi II W.P. Embedded minimal surfaces without area bounds in 3-manifolds Proceedings of Conference on Geometry and Topology, Aarhus, 1998; Contemp. Math. 258 2000 107-120
    • (2000) Contemp. Math. , vol.258 , pp. 107-120
    • Colding, T.H.1    Minicozzi II, W.P.2
  • 7
    • 60749106929 scopus 로고    scopus 로고
    • Embedded minimal surfaces in 3-manifolds with positive scalar curvature
    • in preparation
    • T.H. Colding W.P. Minicozzi II Embedded minimal surfaces in 3-manifolds with positive scalar curvature, in preparation
    • Colding, T.H.1    Minicozzi II, W.P.2
  • 8
    • 7544226511 scopus 로고    scopus 로고
    • The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; locally simply connected
    • preprint
    • T.H. Colding W.P. Minicozzi II The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; locally simply connected, preprint, 2002
    • (2002)
    • Colding, T.H.1    Minicozzi II, W.P.2
  • 9
    • 0001601160 scopus 로고
    • Spin and scalar curvature in the presence of a fundamental group. I
    • (2)
    • Gromov M. Lawson H.B. Spin and scalar curvature in the presence of a fundamental group. I Ann. Math. (2) 111 2 1980 209-230
    • (1980) Ann. Math. , vol.111 , Issue.2 , pp. 209-230
    • Gromov, M.1    Lawson, H.B.2
  • 10
    • 5744233783 scopus 로고    scopus 로고
    • Minimal spheres of arbitrary high Morse index
    • preprint
    • J. Hass P. Norbury J.H. Rubinstein, Minimal spheres of arbitrary high Morse index, preprint, 2002
    • (2002)
    • Hass, J.1    Norbury, P.2    Rubinstein, J.H.3
  • 11
    • 84972541056 scopus 로고
    • Minimal submanifolds of low cohomogeneity
    • Hsiang W. Lawson H.B. Minimal submanifolds of low cohomogeneity J. Differential Geom. 5 1971 1-38
    • (1971) J. Differential Geom. , vol.5 , pp. 1-38
    • Hsiang, W.1    Lawson, H.B.2
  • 12
    • 0010600438 scopus 로고
    • Applications of minimax to minimal surfaces and the topology of three-manifolds, Miniconference on geometry and partial differential equations, 2 (Canberra, 1986)
    • J. Pitts J.H. Rubinstein Applications of minimax to minimal surfaces and the topology of three-manifolds, Miniconference on geometry and partial differential equations, 2 (Canberra, 1986). Proceedings of the CMA, Vol. 12, 1987, pp. 137-170
    • (1987) Proceedings of the CMA , vol.12 , pp. 137-170
    • Pitts, J.1    Rubinstein, J.H.2
  • 13
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    • On the structure of manifolds with positive scalar curvature
    • Schoen R. Yau S.T. On the structure of manifolds with positive scalar curvature Manuscripta Math. 28 1-3 1979 159-183
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    • Schoen, R.1    Yau, S.T.2
  • 14
    • 0002491868 scopus 로고    scopus 로고
    • Examples of embedded minimal tori without area bounds
    • T.H. Colding W.P. Minicozzi II Examples of embedded minimal tori without area bounds, Int. Math. Res. Notices 99 (20) (1999) 1097-1100
    • (1999) Int. Math. Res. Notices , vol.99 , Issue.20 , pp. 1097-1100
    • Colding, T.H.1    Minicozzi II, W.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.